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math.DG2024
On stability and scalar curvature rigidity of quaternion-Kähler manifolds
Klaus Kroencke, Uwe Semmelmann
We show that every quaternion-Kähler manifold of negative scalar curvature is stable as an Einstein manifold and therefore scalar curvature rigid. In particular, this implies that…
math.DG2024
Invariant Spinors on Flag Manifolds
Diego Artacho, Uwe Semmelmann
In this note, we characterise the existence of non-trivial invariant spinors on maximal flag manifolds associated to complex simple Lie algebras. This characterisation is based on…
math.DG2024
On the rigidity of the complex Grassmannians
Paul Schwahn, Uwe Semmelmann
We study the integrability to second order of the infinitesimal Einstein deformations of the symmetric metric on the complex Grassmannian of -planes inside . B…